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3673320872 = 2313417311801
BaseRepresentation
bin1101101011110010…
…0110110110101000
3100111000000000221012
43122330212312220
530010332231442
61404300003052
7160012466204
oct33274466650
910430000835
103673320872
111615548381
12866230488
13467042360
1426bbd7b04
15167746582
hexdaf26da8

3673320872 has 64 divisors (see below), whose sum is σ = 7702929360. Its totient is φ = 1631232000.

The previous prime is 3673320821. The next prime is 3673320877. The reversal of 3673320872 is 2780233763.

It can be written as a sum of positive squares in 8 ways, for example, as 450033796 + 3223287076 = 21214^2 + 56774^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (3673320877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305372 + ... + 317172.

Almost surely, 23673320872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673320872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851464680).

3673320872 is an abundant number, since it is smaller than the sum of its proper divisors (4029608488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3673320872 is a wasteful number, since it uses less digits than its factorization.

3673320872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11934 (or 11930 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The square root of 3673320872 is about 60607.9274682776. The cubic root of 3673320872 is about 1542.9539177229.

The spelling of 3673320872 in words is "three billion, six hundred seventy-three million, three hundred twenty thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 73 82 104 146 164 292 328 533 584 949 1066 1898 2132 2993 3796 4264 5986 7592 11801 11972 23602 23944 38909 47204 77818 94408 153413 155636 306826 311272 483841 613652 861473 967682 1227304 1722946 1935364 3445892 3870728 6289933 6891784 11199149 12579866 22398298 25159732 35320393 44796596 50319464 70640786 89593192 141281572 282563144 459165109 918330218 1836660436 3673320872